Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
482 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 118 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14544337 | C2 | semidirect |
| 4. #14543617 | C2 | semidirect |
| 42. #10587504 | C8 | semidirect |
| 75. #63223 | C2×C8 | semidirect |
| 174. C17 | #8835 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545631 | 2 |
| #14544905 | 2 |
| #14544337 | 2 |
| #14543617 | 2 |
| #100×Dic17 | 2 |
| #8835 | 17 |